Abstract nonautonomous difference inclusions in locally convex spaces

TL;DR

This paper investigates the existence and uniqueness of almost periodic solutions to abstract nonautonomous difference inclusions in locally convex spaces, providing new insights even within Banach spaces.

Contribution

It introduces novel results on almost periodic solutions for nonautonomous difference inclusions in locally convex spaces, extending prior work in Banach spaces.

Findings

Existence of almost periodic solutions established

Uniqueness of solutions demonstrated

Results are new even in Banach space setting

Abstract

In this paper, we consider abstract nonautonomous difference inclusions in locally convex spaces with integer order differences. We particularly analyze the existence and uniqueness of almost periodic type solutions to abstract nonautonomous difference inclusions. Our results seem to be completely new even in the Banach space setting.